UCLA
EE131A (KY)
1
EE 131A
Probability
Professor Kung Yao
Electrical Engineering Department
University of California, Los Angeles
M.S. On-Line Engineering Program
Lecture 4-1

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UCLA
EE131A (KY)
2
Discrete sample space (1)
Suppose the sample space
S
= {a
1
, …, a
n
} is finite.
Then each outcome in the sample space is called an
elementary event
. All elementary events are
mutually exclusive (disjoint).
Ex. 1. Let
B
be an event of
S
with
B
= {a
1
, a
4
, a
5
},
then P(
B
) = P(a
1
) + P(a
4
) + P(a
5
) .
In general, let
.
(In Ex. 1. k
1
= 1,
k
2
= 4, and k
3
= 5.)
Thus,
1
2
m
k
k
k
a ,a ,…,a
B
i
m
k
i=1
P(
) =
P(a
) .
B